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A046185 A B2-sequence due to Rachel Lewis. 2
1, 2, 4, 8, 13, 21, 31, 45, 66, 81, 97, 123, 148, 182, 204, 252, 291, 324, 352, 415, 486, 540, 651, 706, 781, 864, 963, 1003, 1148, 1217, 1371, 1409, 1523, 1673, 1974, 2105, 2191, 2317, 2496, 2652, 2726, 2858, 3219, 3268, 3500, 3605, 3864, 3962, 4237 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

"The first 68 elements of the sequence are [given], then the greedy algorithm is used." For this B2-sequence: "The reciprocal sum is at least 2.16086," greater than that of the Mian-Chowla sequence (A005282), which is at most 2.158533. - Danny Rorabaugh (with quotes by Rachel Lewis), Sep 29 2015

REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 163-166.

LINKS

Danny Rorabaugh, Table of n, a(n) for n = 0..848

S. R. Finch, Erdos's Reciprocal Sum Constants [broken link]

S. R. Finch, Mian-Chowla and B2 sequences

Eric Weisstein's World of Mathematics, B2 Sequence

FORMULA

For n>67, a(n) is the least number such that all pairwise differences of distinct elements of {a(0), ..., a(n)} are distinct. - Danny Rorabaugh, Sep 29 2015

CROSSREFS

Cf. A005282.

Sequence in context: A026039 A004978 A005282 * A259964 A218913 A241691

Adjacent sequences:  A046182 A046183 A046184 * A046186 A046187 A046188

KEYWORD

nonn

AUTHOR

Eric W. Weisstein

EXTENSIONS

a(34) corrected by Steven Finch in email with Danny Rorabaugh, Sep 29 2015

STATUS

approved

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Last modified August 20 20:41 EDT 2018. Contains 313927 sequences. (Running on oeis4.)